28314542592 has 360 divisors, whose sum is σ = 96195656700. Its totient is φ = 7993294848.

The previous prime is 28314542591. The next prime is 28314542623. The reversal of 28314542592 is 29524541382.

28314542592 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 4 + 54 + 2 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21757430016 + 6557112576 = 147504^2 + 80976^2 .

Its product of digits (691200) is a multiple of the sum of its prime factors (1536).

It is not an unprimeable number, because it can be changed into a prime (28314542591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20094784 + ... + 20096192.

Almost surely, 2^28314542592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28314542592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48097828350).

28314542592 is an abundant number, since it is smaller than the sum of its proper divisors (67881114108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28314542592 is a wasteful number, since it uses less digits than its factorization.

28314542592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1510 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 28314542592 in words is "twenty-eight billion, three hundred fourteen million, five hundred forty-two thousand, five hundred ninety-two".